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Sveta_85 [38]
2 years ago
8

Which expression is a factor of the expression 20c3+540y3​

Mathematics
1 answer:
True [87]2 years ago
5 0

factor 20 out of 20cx*3 =540y*3

so you get 20(cx*3=540y*3) if that is what you are looking for

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What is the density of sample 3, if the Mass(g) was 5 1/4 and the Volume(mL) was 16.9?
iogann1982 [59]
5 1/4 divided by 16.9 is 0.31
8 0
3 years ago
The proprietor of a boutique in New York wanted to determine the average age of his customers. A random sample of 25 customers r
jolli1 [7]

Answer:

28-2.064\frac{10}{\sqrt{25}}=23.872    

28+2.064\frac{10}{\sqrt{25}}=32.128    

So on this case the 95% confidence interval would be given by (23.9;32.1)  

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=28 represent the sample mean

\mu population mean (variable of interest)

s=10 represent the sample standard deviation

n=25 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=25-1=24

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that t_{\alpha/2}=2.064

Now we have everything in order to replace into formula (1):

28-2.064\frac{10}{\sqrt{25}}=23.872    

28+2.064\frac{10}{\sqrt{25}}=32.128    

So on this case the 95% confidence interval would be given by (23.9;32.1)    

7 0
3 years ago
Evaluate the expression 4(2x + 3) + 2(x + 1)-7
Svetlanka [38]
4 (2x + 3) + 2 (x + 1) - 7

8x + 12 + 2x +  2 - 7

10x + 7

10x = -7
10x/10 = -7/10

x = -7/10

hope this helps


4 0
3 years ago
Find the value of x that makes ABCD a parallelogram.
daser333 [38]

Answer:

the answer is 6

Step-by-step explanation:

5x+150=180( cointerrior angle of traingle)

5x=30

x=6

7 0
2 years ago
I need help with these two problems
erastova [34]
Number 5 is 15.9 kilograms

And number 6 is 6 million cubic feet per minute

You just cross multiply
5 0
3 years ago
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